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1131132101034 = 2313591103222839
BaseRepresentation
bin10000011101011100101…
…110100010000110101010
311000010122112121100202210
4100131130232202012222
5122013024304213114
62223345050305550
7144502336135335
oct20353456420652
94003575540683
101131132101034
113a678a645311
12163279a282b6
1382885880430
143ca6600961c
151e653ba2259
hex1075cba21aa

1131132101034 has 64 divisors (see below), whose sum is σ = 2479834828800. Its totient is φ = 341829926592.

The previous prime is 1131132100999. The next prime is 1131132101131. The reversal of 1131132101034 is 4301012311311.

It is a self number, because there is not a number n which added to its sum of digits gives 1131132101034.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4964587 + ... + 5187425.

It is an arithmetic number, because the mean of its divisors is an integer number (38747419200).

Almost surely, 21131132101034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131132101034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239917414400).

1131132101034 is an abundant number, since it is smaller than the sum of its proper divisors (1348702727766).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1131132101034 is a wasteful number, since it uses less digits than its factorization.

1131132101034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224019.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 1131132101034 its reverse (4301012311311), we get a palindrome (5432144412345).

The spelling of 1131132101034 in words is "one trillion, one hundred thirty-one billion, one hundred thirty-two million, one hundred one thousand, thirty-four".

Divisors: 1 2 3 6 13 26 39 59 78 118 177 354 767 1103 1534 2206 2301 3309 4602 6618 14339 28678 43017 65077 86034 130154 195231 222839 390462 445678 668517 846001 1337034 1692002 2538003 2896907 5076006 5793814 8690721 13147501 17381442 26295002 39442503 78885006 170917513 245791417 341835026 491582834 512752539 737374251 1025505078 1474748502 3195288421 6390576842 9585865263 14501693603 19171730526 29003387206 43505080809 87010161618 188522016839 377044033678 565566050517 1131132101034